R-FUNKTSIYALAR VA ITERATSION FUNKSIYALAR TIZIMI ASOSIDA KUB-TSILINDR KOMPOZITSIYASIDAN HOSIL BOʻLGAN 3D FRAKTAL STRUKTURALARNI GEOMETRIK MODELLASHTIRISH

Nuraliyev Faxriddin Murodillayevich; Narzulloyev Oybek Mirzayevich; Nurimbetov Baxbergen Tolibayevich

Authors

Nuraliyev Faxriddin Murodillayevich Muhammmad al-Xorazmiy nomidagi TATU
Narzulloyev Oybek Mirzayevich Muhammmad al-Xorazmiy nomidagi TATU
Nurimbetov Baxbergen Tolibayevich Muhammmad al-Xorazmiy nomidagi TATU

Keywords:

R-funktsiyalar, iteratsion funksiyalar tizimi (IFS), 3D fraktal modellashtirish, kub, tsilindr, fraktal antennalar, geometrik modellashtirish, Menger gubkasi, kompyuter grafika

Abstract

Mazkur maqolada R-funktsiyalar va iteratsion funksiyalar tizimi (IFS) integratsiyasi asosida kub va tsilindr shakllarining analitik kombinatsiyasidan hosil bo‘lgan uch o‘lchovli fraktal struktura modellashtirilgan. Tadqiqotda kubning chegaralari va uchta o‘zaro perpendikulyar tsilindr tenglamalari R-funktsiyalar yordamida differensial tarzda birlashtirilib, natijada silliq sirtli va markaziy simmetriyaga ega fraktaldan avvalgi shakl (pred-fraktal) modeli hosil qilindi. So‘ngra ushbu shakl IFS yondashuvi orqali rekursiv takrorlanib, Menger tipidagi 3D fraktal strukturalar ketma-ket iteratsiyalar asosida yaratildi. Natijalar fraktal antennalar dizayni, 3D bosma texnologiyalar, grafik dizayn va matematik vizualizatsiya sohalarida amaliy qo‘llanish imkoniyatiga ega.

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